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Required information

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Kathleen, age $56,$ works for MH Incorporated in Dallas, Texas. Kathleen contributes to a Roth $401($k$),$ and MH contributes to a traditional $401(k)$ on her behalf. Kathleen has contributed $$30,000$ to her Roth $401(k)$ over the past six years. The current balance in her Roth $401(k)$ account is $$50,000,$ and the balance in her traditional $401(k)$ is $$40,000.$ Kathleen needs cash because she is taking a month of vacation to travel the world. Answer the following questions relating to distributions from Kathleen's retirement accounts assuming her marginal tax rate for ordinary income is $24$ percent.

d$.$ If Kathleen retires from $MH$ and then receives a $$10,000$ distribution from her Roth $401(k),$ how much will she be able to keep after paying taxes and penalties, if any, on the distribution?

Net distribution